If photos will help, there is an identical model for sale on ebay right now, (I don't have a digital camera)
If you cannot get the knobs off by hand, use a screw driver with a thin block of wood behind the prying surface so that you will not mar the finish of the radio. Be gentle so as to not break the knobs. If possible, use two screw drivers with even pressure just like when using your fingers.
Most of the Zenith portables I have acquired have had difficult to remove knobs. Perhaps Motorolas are the same. Bakelite is very brittle, but Lucite knobs are even worse. This plastic is both soft and yet brittle. Sometimes with age it will crumble. It likes to deform and discolor, especially when subjected to finger oils. Be careful with Lucite knobs. Bakelite is not affected by most chemicals or heat or anything, but is still brittle (acetone and certain other strong chemicals may give it a haze, which can usually be polished out). Bakelite will, of course, char if exposed to a flame.
Thomas
It did appear that I could pinch the shafts, but I wanted to be certain before I took pliers to it.